caa a22 4500 47706311X CHVBK 20180405111406.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF00054797 doi (NATIONALLICENCE)springer-10.1007/BF00054797 The exact distribution of indefinite quadratic forms in noncentral normal vectors [Elektronische Daten] [Serge Provost, Edmund Rudiuk] The exact density of the difference of two linear combinations of independent noncentral chi-square variables is obtained in terms of Whittaker's function and expressed in closed forms. Two distinct representations are required in order to cover all the possible cases. The corresponding expressions for the exact distribution function are also given. The Institute of Statistical Mathematics, 1996 Exact distribution function nationallicence exact density function nationallicence indefinite quadratic forms nationallicence noncentral chi-square variables nationallicence singular normal vectors nationallicence Whittaker's function nationallicence Provost Serge Department of Statistical and Actuarial Seiences, The University of Western Ontaria, N6A 5B7, London, Ontario, Canada aut Rudiuk Edmund Department of Statistical and Actuarial Seiences, The University of Western Ontaria, N6A 5B7, London, Ontario, Canada aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 381-394 0020-3157 48:2<381 1996 48 10463 https://doi.org/10.1007/BF00054797 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00054797 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Provost Serge Department of Statistical and Actuarial Seiences, The University of Western Ontaria, N6A 5B7, London, Ontario, Canada aut NATIONALLICENCE 700 1- Rudiuk Edmund Department of Statistical and Actuarial Seiences, The University of Western Ontaria, N6A 5B7, London, Ontario, Canada aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 381-394 0020-3157 48:2<381 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer